Question

Find the distance between the following pairs of points:

(–3, 6) and (2, –6)

Answer 1

(–3, 6) and (2, –6)

x₁ = –3, y₁ = 6, x₂ = 2, y₂ = –6

AB = `sqrt((x_2-x_1)^2+(y_2-y_1)^2)`

= `sqrt((2 + 3)^2 + (-6 -6)^2)`

= `sqrt((5)^2 + (-12)^2)`

= `sqrt(25 + 144)`

= `sqrt(169)`

= 13